Before you can understand what the "Jumping Dogeza" is, it is helpful to first familiarize yourself with the multitude of ways the Japanese apologize, including "the quintessential apology": dogeza (土下座).

According to the Nico Nico Pedia, "Jumping Dogeza" is performed by first jumping high into the air and upon landing prostrating oneself on the ground. An example of "Jumping Dogeza" can be seen in the following video:

And some examples of "Extreme Dogeza":

Do not try this at home.

The first two videos are part of the Nihon no Katachi (日本の形) series by the manzai duo Rahmens (ラーメンズ).